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Finding the Fourth Proportional to 5,842.56, 8,764.16 and 2,379.52

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Solution

The fourth proportional to 5,842.56, 8,764.16 and 2,379.52 is: 3,569.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.56 : 8,764.16 = 2,379.52 : x
  2. Step 2: Convert to fraction form
    5,842.56/8,764.16 = 2,379.52/x
  3. Step 3: Cross multiply
    5,842.56x = 8,764.16 × 2,379.52
  4. Step 4: Simplify right side
    5,842.56x = 20,854,494.00
  5. Step 5: Solve for x
    x = 20,854,494.00/5,842.56
  6. Step 6: Final answer
    x = 3,569.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.